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<meta name="description" content="概述在读计算机视觉的相关论文时，经常会看到平移不变性这个词，本文将介绍卷积神经网络中的平移不变性是什么，以及为什么具有平移不变性。 什么是平移不变性不变性不变性意味着即使目标的外观发生了某种变化，但是你依然可以把它识别出来。 这对图像分类来说是一种很好的特性，因为我们希望图像中目标无论是被平移，被旋转，还是被缩放，甚至是不同的光照条件、视角，都可以被成功地识别出来。 所以上面的描述就对应着各种不变">
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          <h1 class="post-title" itemprop="name headline">卷积神经网络为什么具有平移不变性</h1>
        

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        <h1 id="概述"><a href="#概述" class="headerlink" title="概述"></a>概述</h1><p>在读计算机视觉的相关论文时，经常会看到平移不变性这个词，本文将介绍卷积神经网络中的平移不变性是什么，以及为什么具有平移不变性。</p>
<h1 id="什么是平移不变性"><a href="#什么是平移不变性" class="headerlink" title="什么是平移不变性"></a>什么是平移不变性</h1><h2 id="不变性"><a href="#不变性" class="headerlink" title="不变性"></a>不变性</h2><p>不变性意味着即使目标的外观发生了某种变化，但是你依然可以把它识别出来。</p>
<p>这对图像分类来说是一种很好的特性，因为我们希望图像中目标无论是被平移，被旋转，还是被缩放，甚至是不同的光照条件、视角，都可以被成功地识别出来。</p>
<p>所以上面的描述就对应着各种不变性：</p>
<ul>
<li>平移不变性：Translation Invariance</li>
<li>旋转/视角不变性：Ratation/Viewpoint Invariance</li>
<li>尺度不变性：Size Invariance</li>
<li>光照不变性：Illumination Invariance</li>
</ul>
<h2 id="平移不变性-平移同变性"><a href="#平移不变性-平移同变性" class="headerlink" title="平移不变性/平移同变性"></a>平移不变性/平移同变性</h2><p>在欧几里得几何中，平移是一种几何变换，表示把一幅图像或一个空间中的每一个点在相同方向移动相同距离。比如对图像分类任务来说，图像中的目标不管被移动到图片的哪个位置，得到的结果（标签）应该是相同的，这就是卷积神经网络中的平移不变性。</p>
<p>平移不变性意味着系统产生完全相同的响应（输出），不管它的输入是如何平移的 。</p>
<p>平移同变性（translation equivariance）意味着系统在不同位置的工作原理相同，但它的响应随着目标位置的变化而变化 。比如，实例分割任务，就需要平移同变性，目标如果被平移了，那么输出的实例掩码也应该相应地变化。</p>
<p>最近看的FCIS这篇文章中提到，一个像素在某一个实例中可能是前景，但是在相邻的一个实例中可能就是背景了，也就是说，同一个像素在不同的相对位置，具有不同的语义，对应着不同的响应，这说的也是平移同变性。</p>
<h1 id="为什么卷积神经网络具有平移不变性"><a href="#为什么卷积神经网络具有平移不变性" class="headerlink" title="为什么卷积神经网络具有平移不变性"></a>为什么卷积神经网络具有平移不变性</h1><p>简单地说，卷积+最大池化约等于平移不变性。</p>
<p><strong>卷积</strong>：简单地说，图像经过平移，相应的特征图上的表达也是平移的。</p>
<p>下图只是一个为了说明这个问题的例子。输入图像的左下角有一个人脸，经过卷积，人脸的特征（眼睛，鼻子）也位于特征图的左下角。</p>
<img src="/blog/2020/06/21/%E5%8D%B7%E7%A7%AF%E7%A5%9E%E7%BB%8F%E7%BD%91%E7%BB%9C%E4%B8%BA%E4%BB%80%E4%B9%88%E5%85%B7%E6%9C%89%E5%B9%B3%E7%A7%BB%E4%B8%8D%E5%8F%98%E6%80%A7/1414369-20190707200927689-652038226.png" class>

<p>假如人脸特征在图像的左上角，那么卷积后对应的特征也在特征图的左上角。</p>
<img src="/blog/2020/06/21/%E5%8D%B7%E7%A7%AF%E7%A5%9E%E7%BB%8F%E7%BD%91%E7%BB%9C%E4%B8%BA%E4%BB%80%E4%B9%88%E5%85%B7%E6%9C%89%E5%B9%B3%E7%A7%BB%E4%B8%8D%E5%8F%98%E6%80%A7/1414369-20190707200927689-652038226.png" class>

<p>在神经网络中，卷积被定义为不同位置的特征检测器，也就意味着，无论目标出现在图像中的哪个位置，它都会检测到同样的这些特征，输出同样的响应。比如人脸被移动到了图像左下角，卷积核直到移动到左下角的位置才会检测到它的特征。</p>
<p><strong>池化</strong>：比如最大池化，它返回感受野中的最大值，如果最大值被移动了，但是仍然在这个感受野中，那么池化层也仍然会输出相同的最大值。这就有点平移不变的意思了。</p>
<p>所以这两种操作共同提供了一些平移不变性，即使图像被平移，卷积保证仍然能检测到它的特征，池化则尽可能地保持一致的表达。</p>

      
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oMJGg4UZxk5JJoA5T/gqP/wAmJ/E3/uGf+nS0r5U/4IZf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%0AQAUUUUAFFFFABRRRQAUUUUAf/9k=" 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